GCF of 5515/176, 9729/1952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5515/176, 9729/1952 i.e 1/21472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5515/176, 9729/1952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5515/176,9729/1952?
Given fractions are 5515/176,9729/1952
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5515/176,9729/1952, numerators are 5515,9729
Denominators are 176,1952
The GCF of 5515,9729 is 1 .
LCM of 176,1952 is 21472.
The greatest common factor of 5515/176,9729/1952 = [GCF of 5515,9729]/[LCM of 176,1952]= 1/21472
Therefore, the GCF of 5515/176,9729/1952 is 1/21472.
To find the highest common factor of 5515,9729, we have to find the factors of both numbers and list the highest common factor.
The factors of 5515 are 1, 5, 1103, 5515
The factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
The HCF of 5515,9729 is 1.
Lets's calculate GCF of 5515,9729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5515,9729 By Matching Biggest Common Factor Method
Now, list down the factors of 5515
:1,5,1103,5515
Now, list down the factors of 9729
:1,3,9,23,47,69,141,207,423,1081,3243,9729
Greatest Common Factor
We found the factors 5515,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 5515,9729 is 1.
Lets's calculate LCM of 176,1952
| 2 | 176, 1952 |
| 2 | 88, 976 |
| 2 | 44, 488 |
| 2 | 22, 244 |
| 11, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 122 = 21472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21472
Therefore, the GCF of Fractions 5515/176,9729/1952 is 1/21472
Least Common Multiple of 176,1952 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 176,1952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,1952) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(176,1952) x common factors =16 x 1 = 16
LCM(176,1952) = ( 176 × 1952 ) / 16
LCM(176,1952) = 343552 / 16
LCM(176,1952) = 21472
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FAQs on GCF of Fractions of 5515/176, 9729/1952
1. What is the HCF of 5515,9729?
The HCF of 5515,9729 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5515/176, 9729/1952?
Answer: GCF of Numerators as per given numbers 5515/176, 9729/1952 is
GCF of Numerators i.e. for 5515,9729 is 1
LCM of denominators i.e. for 176,1952 is 21472.
Thus, GCF of Fractions is 1/21472.Finally, GCF of Fractions for 5515/176, 9729/1952 is 1/21472.